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Finding the Fourth Proportional to 4,879.04, 7,318.96 and 1,416.56

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Solution

The fourth proportional to 4,879.04, 7,318.96 and 1,416.56 is: 2,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.04 : 7,318.96 = 1,416.56 : x
  2. Step 2: Convert to fraction form
    4,879.04/7,318.96 = 1,416.56/x
  3. Step 3: Cross multiply
    4,879.04x = 7,318.96 × 1,416.56
  4. Step 4: Simplify right side
    4,879.04x = 10,367,745.98
  5. Step 5: Solve for x
    x = 10,367,745.98/4,879.04
  6. Step 6: Final answer
    x = 2,124.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.